{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MA15年化收益率: 54.00%\n",
      "MA15年化收益率: 7.36%\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import akshare as ak\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.dates as mdates\n",
    "\n",
    "# 参数设定\n",
    "start_date = \"2025-02-10\"  # 定投开始日期\n",
    "weekly_investment = 1000  # 每周定投金额 1000 元\n",
    "investment_freq = 'W'  # 定投周期（'W'表示每周）\n",
    "initial_funds = 20000  # 初始资金 5 万元\n",
    "end_date = pd.Timestamp.today().strftime('%Y-%m-%d')  # 结束日期为当前日期\n",
    "\n",
    "# 自定义均线周期（可以随时修改）\n",
    "ma_period = 15  # 当前为7日均线，可以改为其他值，例如30，60，120等\n",
    "\n",
    "# 获取黄金价格数据\n",
    "gold_df = ak.futures_main_sina(symbol=\"AU0\", start_date=start_date, end_date=end_date)\n",
    "\n",
    "# 处理时间格式\n",
    "gold_df['日期'] = pd.to_datetime(gold_df['日期'])\n",
    "gold_df.set_index('日期', inplace=True)\n",
    "\n",
    "# 检查是否有缺失值并填充\n",
    "if gold_df.isnull().any().any():\n",
    "    print(\"警告：黄金价格数据存在缺失值，进行填充\")\n",
    "    gold_df.fillna(method='ffill', inplace=True)  # 前向填充缺失值\n",
    "\n",
    "# 生成定投日期\n",
    "investment_dates = pd.date_range(start=start_date, end=end_date, freq=investment_freq)\n",
    "\n",
    "# 取定投周期的黄金收盘价\n",
    "gold_df_resampled = gold_df.resample(investment_freq).last()  # 取定投周期最后一个交易日的价格\n",
    "gold_df_resampled = gold_df_resampled.reindex(investment_dates, method='ffill')  # 对齐投资日期并填充价格\n",
    "\n",
    "# 检查是否有缺失值并填充\n",
    "if gold_df_resampled.isnull().any().any():\n",
    "    print(\"警告：黄金价格数据在定投周期中存在缺失值，进行填充\")\n",
    "    gold_df_resampled.fillna(method='ffill', inplace=True)\n",
    "                    \n",
    "# 计算均线（使用 ma_period 变量）\n",
    "gold_df_resampled[f'MA{ma_period}'] = gold_df_resampled['收盘价'].rolling(window=ma_period).mean()\n",
    "\n",
    "# 添加黄金价格均线\n",
    "gold_df_resampled['黄金价格MA'] = gold_df_resampled['收盘价'].rolling(window=ma_period).mean()\n",
    "\n",
    "# 初始化投资\n",
    "funds_ma = initial_funds  # 初始资金\n",
    "\n",
    "total_investment_ma = []  # 记录累计投入金额\n",
    "gold_holdings_ma = []  # 记录持有的黄金克数\n",
    "gold_value_ma = []  # 记录黄金市值\n",
    "\n",
    "dates = []  # 记录有效交易日期\n",
    "\n",
    "# 初始投资，直接用5万块买黄金\n",
    "total_investment_ma.append(initial_funds)  # 初始投资金额\n",
    "\n",
    "initial_gold_ma = initial_funds / gold_df_resampled.iloc[0]['收盘价']  # 初始黄金克数\n",
    "gold_holdings_ma.append(initial_gold_ma)\n",
    "gold_value_ma.append(initial_gold_ma * gold_df_resampled.iloc[0]['收盘价'])\n",
    "\n",
    "dates.append(investment_dates[0])\n",
    "\n",
    "# 每周定投，判断是否满足定投条件（低于均线）\n",
    "for date, price, ma in zip(investment_dates[1:], \n",
    "                            gold_df_resampled['收盘价'][1:], \n",
    "                            gold_df_resampled[f'MA{ma_period}'][1:]):\n",
    "    # 根据均线策略判断是否定投\n",
    "    if price < ma:  # 低于均线\n",
    "        gold_purchased_ma = weekly_investment / price  # 每周购买的黄金克数\n",
    "        funds_ma += weekly_investment  # 增加投资金额\n",
    "        initial_gold_ma += gold_purchased_ma  # 累计持有的黄金克数\n",
    "\n",
    "    # 更新投资记录\n",
    "    total_investment_ma.append(funds_ma)\n",
    "\n",
    "    # 更新黄金持有数量\n",
    "    gold_holdings_ma.append(initial_gold_ma)\n",
    "\n",
    "    # 更新黄金市值\n",
    "    gold_value_ma.append(initial_gold_ma * price)\n",
    "\n",
    "    dates.append(date)\n",
    "\n",
    "# 转换为 Pandas Series\n",
    "total_investment_ma = pd.Series(total_investment_ma, index=dates)\n",
    "gold_value_ma = pd.Series(gold_value_ma, index=dates)\n",
    "\n",
    "# 计算年化收益率\n",
    "def annualized_return(final_value, initial_value, years):\n",
    "    return (final_value / initial_value) ** (1 / years) - 1\n",
    "\n",
    "# 计算投资年数\n",
    "investment_years = (pd.to_datetime(end_date) - pd.to_datetime(start_date)).days / 365\n",
    "\n",
    "# 计算年化收益率\n",
    "final_value_ma = gold_value_ma.iloc[-1]\n",
    "\n",
    "initial_investment = initial_funds  # 初始投资金额\n",
    "\n",
    "annualized_return_ma = annualized_return(final_value_ma, initial_investment, investment_years)\n",
    "\n",
    "# 打印年化收益率\n",
    "print(f\"MA{ma_period}年化收益率: {annualized_return_ma * 100:.2f}%\")\n",
    "print(f\"MA{ma_period}年化收益率: {(final_value_ma - initial_investment) / initial_investment * 100:.2f}%\")\n",
    "\n",
    "# 绘制定投曲线与收益曲线\n",
    "fig, ax1 = plt.subplots(figsize=(12, 6))\n",
    "\n",
    "# 黄金价格曲线\n",
    "ax1.plot(gold_df_resampled.index, gold_df_resampled['收盘价'], label='黄金价格（元/克）', color='gold')\n",
    "ax1.set_xlabel('日期')\n",
    "ax1.set_ylabel('黄金价格（元/克）', color='gold')\n",
    "ax1.tick_params(axis='y', labelcolor='gold')\n",
    "\n",
    "# 黄金价格均线曲线\n",
    "ax1.plot(gold_df_resampled.index, gold_df_resampled['黄金价格MA'], label=f'黄金价格均线（{ma_period}期）', color='orange', linestyle='--')\n",
    "\n",
    "# 定投曲线（虚线）\n",
    "ax2 = ax1.twinx()\n",
    "ax2.plot(total_investment_ma.index, total_investment_ma, label=f'MA{ma_period}定投金额（元）', color='purple', linestyle='--')\n",
    "\n",
    "# 收益曲线（实线）\n",
    "ax2.plot(gold_value_ma.index, gold_value_ma, label=f'MA{ma_period}收益曲线（元）', color='purple', linestyle='-')\n",
    "\n",
    "ax2.set_ylabel('金额（元）')\n",
    "ax2.tick_params(axis='y')\n",
    "\n",
    "# 设置x轴格式\n",
    "ax1.xaxis.set_major_locator(mdates.YearLocator())\n",
    "ax1.xaxis.set_major_formatter(mdates.DateFormatter('%Y-%m'))\n",
    "\n",
    "# 添加图例\n",
    "fig.tight_layout()\n",
    "fig.legend(loc='upper left', bbox_to_anchor=(0.1, 0.9))\n",
    "plt.title(f'黄金定投收益曲线（{start_date} - {end_date}，均线定投，每周定投 1000 元，初始资金 {initial_funds} 元）')\n",
    "plt.grid()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**均线定投策略**是一种基于技术分析的方法，通过观察黄金价格的均线走势来决定定投的金额或时机。其核心逻辑是利用均线（如30日、60日、120日均线等）作为市场趋势的参考，判断黄金价格的相对高低位，从而动态调整定投策略。以下是均线定投策略的具体逻辑：\n",
    "\n",
    "---\n",
    "\n",
    "### **1. 选择均线周期**\n",
    "- 均线周期可以根据投资者的风险偏好和投资周期选择，常见的均线周期包括：\n",
    "  - **短期均线**：如5日、10日、20日均线，适合短期趋势判断。\n",
    "  - **中期均线**：如30日、60日均线，适合中期趋势判断。\n",
    "  - **长期均线**：如120日、200日均线，适合长期趋势判断。\n",
    "\n",
    "---\n",
    "\n",
    "### **2. 确定定投规则**\n",
    "均线定投策略的核心规则是：**根据当前价格与均线的关系，动态调整定投金额**。以下是常见的规则：\n",
    "- **价格低于均线**：增加定投金额（认为黄金处于相对低位，适合加大投入）。\n",
    "- **价格高于均线**：减少定投金额或暂停定投（认为黄金处于相对高位，适合减少投入）。\n",
    "- **价格接近均线**：保持正常定投金额（认为黄金处于中性区域，适合正常投入）。\n",
    "\n",
    "---\n",
    "\n",
    "### **3. 具体操作步骤**\n",
    "以**60日均线**为例，说明均线定投策略的操作步骤：\n",
    "1. **计算均线**：每日计算黄金价格的60日均线（过去60个交易日的平均价格）。\n",
    "2. **比较价格与均线**：\n",
    "   - 如果当前价格 **低于** 60日均线，说明黄金处于相对低位，适合 **增加定投金额**（如增加20%-50%）。\n",
    "   - 如果当前价格 **高于** 60日均线，说明黄金处于相对高位，适合 **减少定投金额**（如减少20%-50%）或暂停定投。\n",
    "   - 如果当前价格 **接近** 60日均线，说明黄金处于中性区域，适合 **保持正常定投金额**。\n",
    "3. **定期执行**：每月或每季度按照上述规则执行定投。\n",
    "\n",
    "---\n",
    "\n",
    "### **4. 均线定投策略的优势**\n",
    "- **低位多投，高位少投**：通过均线判断黄金的相对高低位，低位时积累更多黄金，高位时减少投入，降低平均成本。\n",
    "- **平滑市场波动**：均线能够反映市场的中长期趋势，避免因短期波动而做出错误决策。\n",
    "- **灵活应对市场**：根据市场趋势动态调整定投金额，适合有一定投资经验的投资者。\n",
    "\n",
    "---\n",
    "\n",
    "### **5. 均线定投策略的注意事项**\n",
    "- **均线周期选择**：短期均线对市场反应灵敏，但可能产生较多噪音；长期均线稳定性高，但可能滞后于市场变化。需根据自身投资周期选择合适的均线。\n",
    "- **市场趋势变化**：在单边上涨或下跌的市场中，均线定投策略可能失效，需结合其他指标（如MACD、RSI等）进行综合判断。\n",
    "- **资金管理**：动态调整定投金额时，需确保资金流动性，避免因短期投入过多而影响整体财务规划。\n",
    "\n",
    "---\n",
    "\n",
    "### **示例：均线定投策略的实操案例**\n",
    "假设投资者每月定投黄金，基础定投金额为1000元，使用60日均线作为参考：\n",
    "- **当前价格低于60日均线**：增加定投金额至1500元（增加50%）。\n",
    "- **当前价格高于60日均线**：减少定投金额至500元（减少50%）。\n",
    "- **当前价格接近60日均线**：保持定投金额1000元。\n",
    "\n",
    "通过这种方式，投资者可以在黄金价格低位时积累更多黄金，高位时减少投入，从而降低平均成本，提高长期收益。\n",
    "\n",
    "---\n",
    "\n",
    "### **总结**\n",
    "均线定投策略是一种基于技术分析的投资方法，通过动态调整定投金额，帮助投资者在黄金价格低位时积累更多资产，高位时减少投入。该策略适合有一定投资经验的投资者，但需注意均线周期的选择和资金管理，以确保策略的有效性和可持续性。"
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